I'll try to keep it brief:
First off, I would recommend you not try to build the new wall on the half wall, build your new wall all the way to the floor. Anything wrong with the half wall will also be wrong with the new wall.
Remove drywall where the top plate of your wall will be all the way from the rafter/truss on one side of the proposed top plate to the rafter/truss on the other side of the top plate and install blocks between the rafter/truss and flush with them, 2x4 or 2x6, doesn't matter.
Place the blocks at 4' on center spacing or whatever makes sense close to the pitch change.
I snap lines for everything but if you're careful you can just temporarily attach your bottom plate where you want the wall to be, the bottom plate is the overall length of the wall, one piece ideally, and somewhat straight. If you snap lines you can bend the plate to your line as needed.
Now you need to transfer the location of the bottom plate to the blocks. There's multiple ways to do this: Laser level with a plumb feature, level against a straight board, two overlapping levels for different heights, a plumb bob...
With marks on the blocks attach the top plate. I use construction screws in case it needs adjustment.
It sounds like there will be two sections of top plate; remember, this is framing and the joints don't have to be perfect.
Now lay out your bottom plate for studs at 16" on center and transfer those marks to the top plate.
Measure, cut, and install each stud. Measure to the long side.
Add 2x between the blocks as bearing for the drywall. You could try to cut the drywall back to the center of each truss/joist/rafter, but that's where it's nailed so it's not much fun.
All the different blocks etc should plane out nicely for a good drywall job.
I think that's about it.